Question

Circular area rugs are priced at $5 per foot based on the circumference of the carpet used. What is the cost of the largest circular area rug that will fit in susies dining room? Round your answer to the nearest whole number.

Answer 1

Answer: 110

Step-by-step explanation:

We first need to find the maximum perimeter of the circular area rug that will fit in the rectangular space. We use the shortest side of the rectangle as the diameter of the rug.

A circle drawn inside a rectangle.

A rectangle has a length of 12 feet and a height of 7 feet. A circle is drawn inside in the center of the rectangle with a line labeled Diameter extending from the top most point of the circle to the bottom most point of the circle.

P=2πr=2π×72=21.9911 ft

We then multiply the perimeter of the rug by the cost per foot.

cost =21.9911×5=$109.9555

Rounded to the nearest whole number, the cost of the maximum circumference circular rug that can fit in the dining room is 110 dollars.